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## ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY

#### Zulfiye Hanalioğlu [1] , Tahir Khaniyev [2]

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In this study, a semi – Markovian inventory model of type (s,S) is considered and the model is expressed by a modification of a renewal – reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved under some weak conditions. Additionally, exact expressions and three – term asymptotic expansions are found for all the moments of the ergodic distribution. Finally, obtained asymptotic results are compared with exact results for a special case.

Inventory model of type (s, S), Renewal – reward process, Asymmetric triangular distribution, Moments of ergodic distribution
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Subjects Industrial Engineering Author: Zulfiye HanalioğluInstitution: Karabuk University, Faculty of Business, Department of Actuarial Sciences and Risk ManagementCountry: Turkey Author: Tahir KhaniyevInstitution: TOBB EKONOMİ VE TEKNOLOJİ ÜNİVERSİTESİCountry: Turkey
 Bibtex @research article { gujs292010, journal = {GAZI UNIVERSITY JOURNAL OF SCIENCE}, issn = {}, eissn = {2147-1762}, address = {Gazi University}, year = {2018}, volume = {31}, pages = {174 - 187}, doi = {}, title = {ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY}, key = {cite}, author = {Hanalioğlu, Zulfiye and Khaniyev, Tahir} } APA Hanalioğlu, Z , Khaniyev, T . (2018). ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY. GAZI UNIVERSITY JOURNAL OF SCIENCE, 31 (1), 174-187. Retrieved from http://dergipark.org.tr/gujs/issue/35772/292010 MLA Hanalioğlu, Z , Khaniyev, T . "ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 174-187 Chicago Hanalioğlu, Z , Khaniyev, T . "ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 174-187 RIS TY - JOUR T1 - ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY AU - Zulfiye Hanalioğlu , Tahir Khaniyev Y1 - 2018 PY - 2018 N1 - DO - T2 - GAZI UNIVERSITY JOURNAL OF SCIENCE JF - Journal JO - JOR SP - 174 EP - 187 VL - 31 IS - 1 SN - -2147-1762 M3 - UR - Y2 - 2017 ER - EndNote %0 GAZI UNIVERSITY JOURNAL OF SCIENCE ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY %A Zulfiye Hanalioğlu , Tahir Khaniyev %T ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY %D 2018 %J GAZI UNIVERSITY JOURNAL OF SCIENCE %P -2147-1762 %V 31 %N 1 %R %U ISNAD Hanalioğlu, Zulfiye , Khaniyev, Tahir . "ASYMPTOTIC RESULTS FOR AN INVENTORY MODEL OF TYPE (s,S) WITH ASYMMETRIC TRIANGULAR DISTRIBUTED INTERFERENCE OF CHANCE AND DELAY". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 / 1 (March 2018): 174-187.